
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 12 to 9 computations (25% saved)
| 552.0ms | 7 181× | 1 | valid |
| 88.0ms | 547× | 2 | valid |
| 27.0ms | 528× | 0 | valid |
ival-sin: 223.0ms (47.5% of total)adjust: 100.0ms (21.3% of total)ival-sub: 84.0ms (17.9% of total)ival-<: 39.0ms (8.3% of total)ival-and: 11.0ms (2.3% of total)exact: 10.0ms (2.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 96 | 1 | (-0.19630344609821523) | 1 | (0.32318064076639036) | (-.f64 (sin.f64 x) x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sin.f64 x) x) | cancellation | 96 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 95 | 1 |
| - | 1 | 159 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 95 | 1 | 0 |
| - | 1 | 0 | 159 |
| number | freq |
|---|---|
| 0 | 160 |
| 1 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 430× | 1 | valid |
| 8.0ms | 34× | 2 | valid |
| 4.0ms | 48× | 0 | valid |
Compiled 22 to 13 computations (40.9% saved)
ival-sin: 16.0ms (56% of total)ival-sub: 7.0ms (24.5% of total)adjust: 5.0ms (17.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 32× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 15 | 11 |
| 2 | 46 | 8 |
| 3 | 103 | 8 |
| 4 | 135 | 8 |
| 5 | 137 | 8 |
| 0 | 3 | 4 |
| 0 | 5 | 4 |
| 1 | 7 | 4 |
| 2 | 12 | 4 |
| 3 | 18 | 4 |
| 4 | 26 | 4 |
| 5 | 41 | 4 |
| 6 | 74 | 4 |
| 7 | 100 | 4 |
| 8 | 143 | 4 |
| 9 | 160 | 4 |
| 10 | 172 | 4 |
| 0 | 172 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
(negabs x)
Compiled 4 to 3 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.9% | (-.f64 (sin.f64 x) x) |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (-.f64 (sin.f64 x) x) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 32× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 7 |
| 0 | 5 | 7 |
| 1 | 7 | 7 |
| 2 | 12 | 7 |
| 3 | 18 | 7 |
| 4 | 26 | 7 |
| 5 | 41 | 7 |
| 6 | 74 | 7 |
| 7 | 100 | 7 |
| 8 | 143 | 7 |
| 9 | 160 | 7 |
| 10 | 172 | 7 |
| 0 | 172 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 20.52281642200766 | (-.f64 (sin.f64 x) x) |
| 16.0ms | 215× | 1 | valid |
| 6.0ms | 17× | 2 | valid |
| 1.0ms | 24× | 0 | valid |
Compiled 9 to 5 computations (44.4% saved)
ival-sin: 10.0ms (61.1% of total)ival-sub: 4.0ms (24.4% of total)adjust: 3.0ms (18.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | inf | ((- (sin x) x) (sin x)) |
| 0.0ms | x | @ | -inf | ((- (sin x) x) (sin x)) |
| 1× | egg-herbie |
| 12 140× | lower-fma.f64 |
| 12 140× | lower-fma.f32 |
| 3 244× | lower-*.f64 |
| 3 244× | lower-*.f32 |
| 2 514× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 939 | 152 |
| 4 | 2033 | 140 |
| 5 | 3880 | 140 |
| 0 | 8027 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
| 4 646× | lower-/.f64 |
| 4 646× | lower-/.f32 |
| 4 252× | lower-fma.f64 |
| 4 252× | lower-fma.f32 |
| 3 550× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 6 |
| 0 | 5 | 6 |
| 1 | 20 | 6 |
| 2 | 148 | 6 |
| 3 | 1494 | 6 |
| 0 | 8322 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (sin.f64 x) x))) |
(*.f64 (+.f64 (sin.f64 x) x) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 (sin.f64 x) #s(literal 0 binary64)) (fma.f64 x x (*.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))))) |
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(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sin.f64 x) x)) (-.f64 (sin.f64 x) x))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (sin.f64 x) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) x (sin.f64 x)) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(fma.f64 x #s(literal -1 binary64) (sin.f64 x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (sin.f64 x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (*.f64 x x)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sin.f64 x) x))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (sin.f64 x) x)))) |
(-.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 x) x)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 x) x)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (+.f64 (sin.f64 x) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (sin.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(+.f64 (sin.f64 x) (neg.f64 x)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(sin.f64 x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sin.f64 x))) |
Compiled 6 095 to 589 computations (90.3% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 12 | 197 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 185 | 13 | 198 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
| 8.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) | |
| 67.8% | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) | |
| ▶ | 5.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
| 6.4% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) | |
| 5.8% | (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))) | |
| ✓ | 67.9% | (-.f64 (sin.f64 x) x) |
| 22.2% | (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| ▶ | 97.5% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| 97.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| ▶ | 96.7% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| 96.1% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| ▶ | 6.8% | #s(approx (- (sin x) x) (neg.f64 x)) |
Compiled 600 to 263 computations (56.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))) | |
| cost-diff | 192 | (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) | |
| cost-diff | 6912 | (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) | |
| cost-diff | 20672 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 14080 | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| 9 852× | lower-fma.f32 |
| 9 840× | lower-fma.f64 |
| 3 306× | lower-*.f32 |
| 3 300× | lower-*.f64 |
| 1 576× | lower-+.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 263 |
| 0 | 61 | 232 |
| 1 | 112 | 230 |
| 2 | 242 | 230 |
| 3 | 737 | 230 |
| 4 | 2129 | 230 |
| 5 | 5107 | 211 |
| 0 | 8100 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(+.f64 (sin.f64 x) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) |
#s(literal 0 binary64) |
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(literal 3 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))) |
(fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))) |
(*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(-.f64 (sin.f64 x) x) |
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(+.f64 (sin.f64 x) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(-.f64 (sin.f64 x) x) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) |
(pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64)) |
#s(literal 0 binary64) |
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(literal 3 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))) |
(*.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)) |
(fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))) |
(*.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)) |
(*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) |
#s(literal 0 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09994125976844201 | (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))) | |
| accuracy | 0.1051750488422101 | (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 20.52281642200766 | (-.f64 x (sin.f64 x)) | |
| accuracy | 54.80689774451435 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 x) x) | |
| accuracy | 0.029628759768442016 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 5.027155735945962 | (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) | |
| accuracy | 28.663290898270073 | (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 0.150722509768442 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 1.9536697586578908 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 59.67478805856395 | #s(approx (- (sin x) x) (neg.f64 x)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 0.142910009768442 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 1.4798672235576609 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
| 165.0ms | 191× | 1 | valid |
| 63.0ms | 51× | 2 | valid |
| 4.0ms | 14× | 0 | valid |
Compiled 246 to 38 computations (84.6% saved)
ival-sin: 67.0ms (35.9% of total)adjust: 23.0ms (12.3% of total)ival-mult: 23.0ms (12.3% of total)ival-add: 23.0ms (12.3% of total)const: 20.0ms (10.7% of total)ival-pow: 9.0ms (4.8% of total)ival-sub: 8.0ms (4.3% of total)ival-div: 6.0ms (3.2% of total)ival-pow2: 6.0ms (3.2% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) (patch (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64)) (patch (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))) (patch (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/120 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* 0 (- x (sin x))) (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x))))) (+ (sin x) x) (- x (sin x)) (pow (- x (sin x)) 3) (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x))))) |
| 4.0ms | x | @ | inf | ((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* 0 (- x (sin x))) (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x))))) (+ (sin x) x) (- x (sin x)) (pow (- x (sin x)) 3) (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x))))) |
| 3.0ms | x | @ | 0 | ((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* 0 (- x (sin x))) (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x))))) (+ (sin x) x) (- x (sin x)) (pow (- x (sin x)) 3) (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x))))) |
| 1× | egg-herbie |
| 17 412× | lower-fma.f64 |
| 17 412× | lower-fma.f32 |
| 5 364× | lower-*.f64 |
| 5 364× | lower-+.f64 |
| 5 364× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 313 | 2464 |
| 1 | 913 | 2434 |
| 2 | 2958 | 2372 |
| 0 | 8212 | 2251 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/3 (pow x 4)) |
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3)) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)) |
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
0 |
0 |
0 |
0 |
(* -1/216 (pow x 9)) |
(* (pow x 9) (- (* 1/1440 (pow x 2)) 1/216)) |
(* (pow x 9) (- (* (pow x 2) (+ 1/1440 (* -31/604800 (pow x 2)))) 1/216)) |
(* (pow x 9) (- (* (pow x 2) (+ 1/1440 (* (pow x 2) (- (* 67/27216000 (pow x 2)) 31/604800)))) 1/216)) |
(* 1/36 (pow x 6)) |
(* (pow x 6) (+ 1/36 (* -1/360 (pow x 2)))) |
(* (pow x 6) (+ 1/36 (* (pow x 2) (- (* 41/302400 (pow x 2)) 1/360)))) |
(* (pow x 6) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 41/302400 (* -23/5443200 (pow x 2)))) 1/360)))) |
(* 2 x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(* 1/216 (pow x 9)) |
(* (pow x 9) (+ 1/216 (* -1/1440 (pow x 2)))) |
(* (pow x 9) (+ 1/216 (* (pow x 2) (- (* 31/604800 (pow x 2)) 1/1440)))) |
(* (pow x 9) (+ 1/216 (* (pow x 2) (- (* (pow x 2) (+ 31/604800 (* -67/27216000 (pow x 2)))) 1/1440)))) |
(* 1/36 (pow x 6)) |
(* (pow x 6) (+ 1/36 (* -1/360 (pow x 2)))) |
(* (pow x 6) (+ 1/36 (* (pow x 2) (- (* 41/302400 (pow x 2)) 1/360)))) |
(* (pow x 6) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 41/302400 (* -23/5443200 (pow x 2)))) 1/360)))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
0 |
0 |
0 |
0 |
(* -1 (pow x 3)) |
(* (pow x 3) (- (* -1 (/ (+ (* -2 (sin x)) (* -1 (sin x))) x)) 1)) |
(* (pow x 3) (- (* -1 (/ (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (+ (* -2 (/ (sin x) x)) (* -1 (/ (sin x) x)))))) |
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) (+ 1 (+ (* -2 (/ (sin x) x)) (+ (* -1 (/ (sin x) x)) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
x |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
(* x (+ 1 (/ (sin x) x))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* -2 (/ (sin x) x)) (* -1 (/ (sin x) x))))) |
(* (pow x 3) (+ 1 (+ (* -2 (/ (sin x) x)) (+ (* -1 (/ (sin x) x)) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2))))))) |
(* (pow x 3) (+ 1 (+ (* -2 (/ (sin x) x)) (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 3) (pow x 3))) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
0 |
0 |
0 |
0 |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ (sin x) (* 2 (sin x))) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) x)) (* -1 (+ (sin x) (* 2 (sin x))))) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin x) 3) x)) (* -1 (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) x)) (* -1 (+ (sin x) (* 2 (sin x))))) x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (+ (* 2 (/ (sin x) x)) (/ (sin x) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (sin x) (* 2 (sin x)))) (+ (* 2 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (+ (* -1 (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))) (/ (pow (sin x) 3) x)) x))) x)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
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(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (sin x) x) 1)) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* x (- (/ (sin x) x) 1)) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* x (- (/ (sin x) x) 1)) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ (* -2 (sin x)) (* -1 (sin x))) x)) 1)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (+ (* -2 (/ (sin x) x)) (* -1 (/ (sin x) x)))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x))) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) (+ 1 (+ (* -2 (/ (sin x) x)) (+ (* -1 (/ (sin x) x)) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))) |
(*.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x))) x)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (*.f64 x x)) |
x |
(* x (+ 1 (/ (sin x) x))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* x (+ 1 (/ (sin x) x))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* x (+ 1 (/ (sin x) x))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (+ (* -2 (/ (sin x) x)) (* -1 (/ (sin x) x))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (* -2 (/ (sin x) x)) (+ (* -1 (/ (sin x) x)) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (* -2 (/ (sin x) x)) (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 3) (pow x 3))) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 #s(literal 3 binary64) (/.f64 (sin.f64 x) x)) (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -2 (/ (sin x) x)) (/ (pow (sin x) 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64))) |
(* 1/362880 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/362880 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ (sin x) (* 2 (sin x))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) x)) (* -1 (+ (sin x) (* 2 (sin x))))) x))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x))) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin x) 3) x)) (* -1 (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) x)) (* -1 (+ (sin x) (* 2 (sin x))))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64))) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) x))) x)) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
(* -1 (* x (- (* -1 (/ (sin x) x)) 1))) |
(fma.f64 (/.f64 (sin.f64 x) x) x x) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (+ (* 2 (/ (sin x) x)) (/ (sin x) x)) 1))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (sin x) (* 2 (sin x)))) (+ (* 2 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (+ (* -1 (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))) (/ (pow (sin x) 3) x)) x))) x)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64))) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -2 (/ (sin x) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) x)) (* 2 (sin x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) x))) x)) (*.f64 x x)) |
| 4 660× | lower-fma.f32 |
| 4 648× | lower-fma.f64 |
| 3 998× | lower-/.f32 |
| 3 994× | lower-/.f64 |
| 3 136× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 226 |
| 0 | 61 | 194 |
| 1 | 273 | 170 |
| 2 | 2210 | 170 |
| 0 | 8381 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))) |
(+.f64 (sin.f64 x) x) |
(-.f64 x (sin.f64 x)) |
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64)) |
(fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
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(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x)))) |
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(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
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(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(neg.f64 x) |
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
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(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) |
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(*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
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(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sin.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x (sin.f64 x)) x) (*.f64 (-.f64 x (sin.f64 x)) x) (-.f64 (*.f64 (*.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (*.f64 (-.f64 x (sin.f64 x)) x) (*.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 x (sin.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 x (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 x (sin.f64 x)))) (*.f64 (*.f64 x (-.f64 x (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 x (sin.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))) (neg.f64 (+.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 x (sin.f64 x)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x (sin.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (+.f64 (sin.f64 x) x)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x))) (+.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 x (sin.f64 x))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (+.f64 (sin.f64 x) x))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64))) (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 x (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (*.f64 (-.f64 x (sin.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (+.f64 (sin.f64 x) x)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))) |
(/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 8 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 x (sin.f64 x)) x (*.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 x (-.f64 x (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 x (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (-.f64 x (sin.f64 x)) x) (*.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 x (-.f64 x (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 x (sin.f64 x)))) |
(+.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) |
Compiled 46 716 to 4 504 computations (90.4% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 492 | 25 | 1 517 |
| Fresh | 7 | 0 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 503 | 27 | 1 530 |
| Status | Accuracy | Program |
|---|---|---|
| 12.0% | (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) | |
| 67.8% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) | |
| 5.0% | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) x (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3/2 binary64)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.0% | (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.1% | (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64))) | |
| 89.5% | (/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x)) | |
| 88.3% | (/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (+.f64 (sin.f64 x) x)) | |
| ✓ | 67.9% | (-.f64 (sin.f64 x) x) |
| 5.1% | (*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -6 binary64))) | |
| 96.1% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| ▶ | 67.8% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
| ▶ | 97.4% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
| ▶ | 96.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
| ▶ | 46.3% | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
| 95.3% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))))) | |
| 46.3% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) | |
| 97.3% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| 96.6% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| 97.4% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| ▶ | 97.5% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 96.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| 96.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 96.8% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))) | |
| 51.0% | #s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 6.8% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 36.1% | #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 979 to 600 computations (38.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) | |
| cost-diff | 1024 | (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) x) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 10 878× | lower-fma.f32 |
| 10 864× | lower-fma.f64 |
| 5 208× | lower-*.f32 |
| 5 194× | lower-*.f64 |
| 1 758× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 462 |
| 0 | 85 | 448 |
| 1 | 155 | 440 |
| 2 | 445 | 423 |
| 3 | 1534 | 413 |
| 4 | 3538 | 413 |
| 5 | 6364 | 413 |
| 0 | 8235 | 413 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(+.f64 #s(literal 0 binary64) x) |
#s(literal 0 binary64) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
#s(literal 1/14400 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(neg.f64 x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(+.f64 #s(literal 0 binary64) x) |
x |
#s(literal 0 binary64) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (-.f64 (sin.f64 x) x)) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(-.f64 (sin.f64 x) x) |
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
#s(literal 1/14400 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/362880 binary64) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/36 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.13738251953688402 | (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.158535009768442 | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 1.4798672235576609 | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 0.03125 | (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) | |
| accuracy | 0.14519501953688402 | (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.154628759768442 | (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 1.9536697586578908 | #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 0 | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.0078125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) | |
| accuracy | 30.40196571668617 | (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 x) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 26.25591720259582 | (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) | |
| accuracy | 59.67478805856395 | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) | |
| accuracy | 0.33984375 | (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| accuracy | 1.4798672235576609 | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 293.0ms | 161× | 2 | valid |
| 66.0ms | 81× | 1 | valid |
| 15.0ms | 14× | 0 | valid |
Compiled 402 to 55 computations (86.3% saved)
ival-sin: 115.0ms (35.6% of total)adjust: 51.0ms (15.8% of total)ival-mult: 50.0ms (15.5% of total)const: 33.0ms (10.2% of total)ival-add: 21.0ms (6.5% of total)ival-div: 15.0ms (4.6% of total)ival-sub: 14.0ms (4.3% of total)ival-pow: 14.0ms (4.3% of total)ival-pow2: 8.0ms (2.5% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/120 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/362880 (pow x 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/131681894400 (pow x 8)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (* (- (/ (sin x) x) 1) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (- (/ (sin x) x) 1) (/ (sin x) x) (- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (- (sin x) x) (/ (* (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (pow x 3)) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6)) (* (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (pow x 3)) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (neg x) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2)) |
| 4.0ms | x | @ | inf | ((- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (* (- (/ (sin x) x) 1) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (- (/ (sin x) x) 1) (/ (sin x) x) (- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (- (sin x) x) (/ (* (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (pow x 3)) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6)) (* (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (pow x 3)) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (neg x) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2)) |
| 3.0ms | x | @ | 0 | ((- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (* (- (/ (sin x) x) 1) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (- (/ (sin x) x) 1) (/ (sin x) x) (- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (- (sin x) x) (/ (* (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (pow x 3)) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6)) (* (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (pow x 3)) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (neg x) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2)) |
| 1× | egg-herbie |
| 12 782× | lower-fma.f64 |
| 12 782× | lower-fma.f32 |
| 4 348× | lower-*.f64 |
| 4 348× | lower-*.f32 |
| 3 070× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 2478 |
| 1 | 451 | 2478 |
| 2 | 1329 | 2478 |
| 3 | 4119 | 2406 |
| 4 | 7993 | 2406 |
| 0 | 8009 | 2296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
x |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
(- (* 1/14400 (pow x 4)) 1/36) |
(- (* 1/14400 (pow x 4)) 1/36) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(* (pow x 3) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36)) |
(* (pow x 3) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 1/302400)))) 1/36)) |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
(- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36) |
(- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 1/302400)))) 1/36) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1/14400 |
(+ 1/14400 (* -1/302400 (pow x 2))) |
(+ 1/14400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 1/302400))) |
(+ 1/14400 (* (pow x 2) (- (* (pow x 2) (+ 13/152409600 (* -1/914457600 (pow x 2)))) 1/302400))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
x |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
-1 |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/14400 (pow x 7)) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/131681894400 (pow x 15)) |
(* (pow x 15) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 15) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 15) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(* 1/131681894400 (pow x 12)) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/131681894400 (pow x 8)) |
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
x |
x |
x |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
-1 |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/14400 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/131681894400 (pow x 15)) |
(* -1 (* (pow x 15) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))) |
(* -1 (* (pow x 15) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))) |
(* -1 (* (pow x 15) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))) |
(* 1/131681894400 (pow x 12)) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/131681894400 (pow x 8)) |
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
x |
x |
x |
x |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/36 (pow x 3)) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1/36 |
#s(literal -1/36 binary64) |
(- (* 1/14400 (pow x 4)) 1/36) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(- (* 1/14400 (pow x 4)) 1/36) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(- (* 1/14400 (pow x 4)) 1/36) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/36 (pow x 3)) |
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/302400 binary64) (*.f64 x x) #s(literal 1/14400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/362880 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (/ (sin x) x) 1) |
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(- (/ (sin x) x) 1) |
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(- (/ (sin x) x) 1) |
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* 1/14400 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/14400 binary64)) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/14400 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x)) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/131681894400 (pow x 15)) |
(*.f64 (pow.f64 x #s(literal 15 binary64)) #s(literal 1/131681894400 binary64)) |
(* -1 (* (pow x 15) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))) |
(*.f64 (-.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 15 binary64))) |
(* -1 (* (pow x 15) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/131681894400 binary64)) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 15 binary64))) |
(* -1 (* (pow x 15) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/131681894400 binary64)) (-.f64 (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x)) (/.f64 #s(literal -1/302400 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 15 binary64))) |
(* 1/131681894400 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/131681894400 binary64)) |
(* (pow x 12) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x)))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/131681894400 binary64)) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x)))) |
(* (pow x 12) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/131681894400 binary64)) (-.f64 (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x)) (/.f64 #s(literal -1/302400 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/131681894400 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/131681894400 binary64)) |
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/131681894400 binary64)) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/131681894400 binary64)) (-.f64 (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x)) (/.f64 #s(literal -1/302400 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
| 4 570× | lower-*.f32 |
| 4 556× | lower-*.f64 |
| 4 064× | lower-fma.f32 |
| 4 050× | lower-fma.f64 |
| 3 192× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 369 |
| 0 | 85 | 352 |
| 1 | 378 | 279 |
| 2 | 3461 | 279 |
| 0 | 8851 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 0 binary64) x) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
(*.f64 (neg.f64 x) x) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(/.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) |
(neg.f64 x) |
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)))) |
(exp.f64 (log.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (neg.f64 x) x)) |
(*.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 x #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (*.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (neg.f64 x) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) x))) (exp.f64 (log.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 x x) (-.f64 x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) x) |
(neg.f64 (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 x)) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 x #s(literal 0 binary64)) |
x |
#s(approx (- (sin x) x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
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(neg.f64 (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) #s(literal 0 binary64))) |
(fma.f64 x (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (neg.f64 x)) |
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(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (*.f64 x x))) |
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(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(fma.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal 0 binary64) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x)) |
(fma.f64 #s(literal 0 binary64) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
(fma.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))) |
(fma.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (sin.f64 x) x) (neg.f64 x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) x) (neg.f64 x)) |
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(+.f64 (*.f64 x (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
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(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal 0 binary64))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
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(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) (*.f64 #s(literal 1/120 binary64) x)))) |
(/.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) (*.f64 #s(literal 1/120 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) (*.f64 #s(literal 1/120 binary64) x))) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)))) |
(/.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) (*.f64 #s(literal 1/120 binary64) x))) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/120 binary64) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/120 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x))) |
(fma.f64 #s(literal 1/120 binary64) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
(exp.f64 (+.f64 (log.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (log.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/120 binary64) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x))) |
Compiled 29 030 to 2 826 computations (90.3% saved)
34 alts after pruning (31 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 21 | 980 |
| Fresh | 10 | 10 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 973 | 34 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| 67.8% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) | |
| 5.0% | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) x (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3/2 binary64)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.0% | (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.1% | (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64))) | |
| ✓ | 67.9% | (-.f64 (sin.f64 x) x) |
| 67.8% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))) | |
| 96.1% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| 67.8% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64))) x)) | |
| 65.6% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) | |
| ▶ | 65.0% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
| 64.8% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) | |
| ▶ | 63.0% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
| 97.5% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) | |
| 97.4% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) | |
| 96.7% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) | |
| 96.1% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) | |
| 96.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| ▶ | 39.9% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) |
| 89.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (neg.f64 x) x)) (neg.f64 x))) | |
| 3.2% | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)))) | |
| 97.0% | #s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 95.3% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))))) | |
| 46.3% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) | |
| ▶ | 97.5% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| 96.6% | #s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) | |
| ▶ | 97.4% | #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
| ✓ | 97.5% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 97.4% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 96.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 96.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) | |
| 96.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| ✓ | 6.8% | #s(approx (- (sin x) x) (neg.f64 x)) |
| 36.1% | #s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 1 226 to 730 computations (40.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) | |
| cost-diff | 640 | (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 1024 | (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) | |
| cost-diff | 1280 | (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
| 4 524× | lower-fma.f32 |
| 4 512× | lower-fma.f64 |
| 3 230× | lower-*.f32 |
| 3 204× | lower-*.f64 |
| 1 358× | lower-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 648 |
| 0 | 84 | 596 |
| 1 | 176 | 580 |
| 2 | 458 | 556 |
| 3 | 1929 | 550 |
| 4 | 6364 | 550 |
| 0 | 8100 | 550 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (fma.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x (neg.f64 x))) |
(*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x (neg.f64 x)) |
(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
#s(literal 1/362880 binary64) |
(*.f64 x x) |
x |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1640625 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) | |
| accuracy | 0.33984375 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| accuracy | 1.4798672235576609 | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) | |
| accuracy | 36.514914693449526 | (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) | |
| accuracy | 0.12890625 | (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x)) | |
| accuracy | 0.18359375 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) | |
| accuracy | 1.4798672235576609 | #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) | |
| accuracy | 26.443030731089856 | (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) | |
| accuracy | 0.33203125 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) | |
| accuracy | 1.69956279197919 | #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) | |
| accuracy | 30.40196571668617 | (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| accuracy | 2.5724378446414886 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| accuracy | 30.40196571668617 | (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) | |
| accuracy | 0.32421875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 1.4798672235576609 | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| 313.0ms | 161× | 2 | valid |
| 63.0ms | 81× | 1 | valid |
| 5.0ms | 14× | 0 | valid |
Compiled 543 to 51 computations (90.6% saved)
ival-sin: 137.0ms (44.4% of total)ival-mult: 52.0ms (16.8% of total)adjust: 34.0ms (11% of total)ival-div: 23.0ms (7.5% of total)const: 20.0ms (6.5% of total)ival-add: 18.0ms (5.8% of total)ival-sub: 13.0ms (4.2% of total)ival-pow: 10.0ms (3.2% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (patch (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x)) (patch (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/362880 (pow x 7)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (neg x)) (- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (/ (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (* x x)) (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (- (sin x) x) (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (+ (* (* x x) 1/120) -1/6) x) (* (/ (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (neg x)) (* x x)) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x)) |
| 2.0ms | x | @ | inf | ((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (neg x)) (- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (/ (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (* x x)) (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (- (sin x) x) (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (+ (* (* x x) 1/120) -1/6) x) (* (/ (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (neg x)) (* x x)) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x)) |
| 2.0ms | x | @ | 0 | ((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (neg x)) (- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (/ (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (* x x)) (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (- (sin x) x) (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (+ (* (* x x) 1/120) -1/6) x) (* (/ (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (neg x) x)) (neg x)) (* x x)) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x)) |
| 1× | egg-herbie |
| 14 624× | lower-fma.f64 |
| 14 624× | lower-fma.f32 |
| 4 114× | lower-+.f64 |
| 4 114× | lower-+.f32 |
| 4 100× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 3162 |
| 1 | 395 | 3162 |
| 2 | 1176 | 3162 |
| 3 | 3753 | 3078 |
| 4 | 7643 | 3036 |
| 0 | 8566 | 2897 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* 1/120 x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 5)) |
(* (pow x 5) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 5) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 5) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 5)) |
(* (pow x 5) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
-1 |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
-1 |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1/362880 (pow x 8)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 11)) |
(* (pow x 11) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 11) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 11) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 7)) |
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
-1 |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
-1 |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(- (/ (sin x) x) 1) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1/362880 (pow x 8)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 11)) |
(* -1 (* (pow x 11) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 11) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 11) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/120 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* 1/362880 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
| Outputs |
|---|
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) |
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(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 1/120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/362880 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 1/362880 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64)) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
| 4 372× | lower-fma.f32 |
| 4 360× | lower-fma.f64 |
| 3 728× | lower-*.f32 |
| 3 702× | lower-*.f64 |
| 3 608× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 521 |
| 0 | 84 | 481 |
| 1 | 374 | 441 |
| 2 | 2953 | 425 |
| 0 | 8759 | 425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) x) x)) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) (/.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) (neg.f64 x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) (pow.f64 (/.f64 x x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) (/.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x)) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)))) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64))) (*.f64 (neg.f64 x) x)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 x #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)))) |
Compiled 37 779 to 3 098 computations (91.8% saved)
36 alts after pruning (29 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 143 | 7 | 1 150 |
| Fresh | 4 | 22 | 26 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 148 | 36 | 1 184 |
| Status | Accuracy | Program |
|---|---|---|
| 67.8% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) | |
| 5.0% | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) x (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3/2 binary64)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.0% | (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) | |
| 5.1% | (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64))) | |
| ✓ | 67.9% | (-.f64 (sin.f64 x) x) |
| 67.8% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))) | |
| 65.1% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (+.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x) (neg.f64 x))) | |
| 96.1% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) | |
| 67.8% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64))) x)) | |
| 65.6% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) | |
| ✓ | 65.0% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
| 64.8% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) | |
| ✓ | 63.0% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
| 97.5% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) | |
| 97.4% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) | |
| 96.7% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) | |
| 96.1% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| 96.1% | #s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) | |
| 96.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 89.7% | #s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (neg.f64 x) x)) (neg.f64 x))) | |
| 3.2% | #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)))) | |
| 97.0% | #s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 39.9% | #s(approx (- (sin x) x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x))) (*.f64 x x))) | |
| 38.5% | #s(approx (- (sin x) x) (/.f64 #s(approx (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) | |
| 95.3% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))))) | |
| 46.3% | #s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) | |
| ✓ | 97.5% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| 97.4% | #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) | |
| ✓ | 97.4% | #s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
| ✓ | 97.5% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
| 97.4% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 96.7% | #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| 97.4% | #s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))) | |
| 96.1% | #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) | |
| ✓ | 6.8% | #s(approx (- (sin x) x) (neg.f64 x)) |
Compiled 1 984 to 733 computations (63.1% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (+.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x) (neg.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (neg.f64 x) x)) (neg.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x))) (*.f64 x x))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (+.f64 (sin.f64 x) x)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -6 binary64))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3/2 binary64)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) x (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 17.0ms | x |
| 16.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 99.7% | 2 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (+.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x) (neg.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (neg.f64 x) x)) (neg.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x))) (*.f64 x x))) |
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))) |
#s(approx (- (sin x) x) (/.f64 #s(approx (* (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) |
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (+.f64 (sin.f64 x) x)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x)) |
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 6 binary64))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -6 binary64))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3/2 binary64)) (-.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) x (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 16.0ms | x |
| 15.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 99.7% | 2 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (+.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x) (neg.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)))) |
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (neg.f64 x) x)) (neg.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))) |
#s(approx (- (sin x) x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x) x))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 13.0ms | x |
| 6.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | x |
| 97.5% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (+.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x) (neg.f64 x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (+.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) x) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | x |
| 96.7% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | x |
| 96.1% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 1 | (-.f64 (sin.f64 x) x) |
| 63.0% | 1 | x |
Compiled 5 to 4 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (sin x) x) (neg.f64 x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.8% | 1 | x |
| 6.8% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 5 to 4 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0012583333427563792 | -6.011374459166663e-5 |
Compiled 7 to 7 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0012583333427563792 | -6.011374459166663e-5 |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
| 34× | *-commutative-binary64-*.f64 |
| 26× | neg-mul-1-binary64-*.f64-neg.f64 |
| 26× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 20× | +-commutative-binary64-+.f64 |
| 16× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 274 |
| 1 | 96 | 274 |
| 2 | 112 | 274 |
| 3 | 124 | 274 |
| 4 | 145 | 274 |
| 5 | 176 | 274 |
| 6 | 178 | 274 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (sin.f64 x) x) #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))) #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (sin.f64 x) x) #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
#s(approx (/ (- 0 (pow (- x (sin x)) 3)) (+ 0 (+ (* (- x (sin x)) (- x (sin x))) (* 0 (- x (sin x)))))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sin x) x) (neg.f64 x)) |
| 17 412× | lower-fma.f64 |
| 17 412× | lower-fma.f32 |
| 12 782× | lower-fma.f64 |
| 12 782× | lower-fma.f32 |
| 12 140× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 313 | 2464 |
| 1 | 913 | 2434 |
| 2 | 2958 | 2372 |
| 0 | 8212 | 2251 |
| 0 | 34 | 226 |
| 0 | 61 | 194 |
| 1 | 273 | 170 |
| 2 | 2210 | 170 |
| 0 | 8381 | 170 |
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 939 | 152 |
| 4 | 2033 | 140 |
| 5 | 3880 | 140 |
| 0 | 8027 | 128 |
| 0 | 3 | 6 |
| 0 | 5 | 6 |
| 1 | 20 | 6 |
| 2 | 148 | 6 |
| 3 | 1494 | 6 |
| 0 | 8322 | 6 |
| 0 | 182 | 2478 |
| 1 | 451 | 2478 |
| 2 | 1329 | 2478 |
| 3 | 4119 | 2406 |
| 4 | 7993 | 2406 |
| 0 | 8009 | 2296 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 367 to 174 computations (52.6% saved)
Compiled 578 to 216 computations (62.6% saved)
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